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Finding the Fourth Proportional to 392,873.43, 542,169.13 and 223,108.77

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Solution

The fourth proportional to 392,873.43, 542,169.13 and 223,108.77 is: 307,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,873.43 : 542,169.13 = 223,108.77 : x
  2. Step 2: Convert to fraction form
    392,873.43/542,169.13 = 223,108.77/x
  3. Step 3: Cross multiply
    392,873.43x = 542,169.13 × 223,108.77
  4. Step 4: Simplify right side
    392,873.43x = 120,962,689,619.96
  5. Step 5: Solve for x
    x = 120,962,689,619.96/392,873.43
  6. Step 6: Final answer
    x = 307,892.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.